Given circle O with chords CD = 12 andAB = 12. Perpendiculars are drawn from 0 to


E and to F. The radius of the circle is 10. Find


FB


OE.

Answer by Guest

Answer:

• FB=6 Units
• OE= 8 Units

Step-by-step explanation:

Theorem: A line drawn from the center perpendicular to the chord bisects the chord.

By the Theorem above, Point E and F bisects CD and AB into 6 Units each as seen in the diagram.

Therefore:

|FB|=6 Units

In Right Triangle OED, applying Pythagoras Theorem

Therefore:

• FB=6 Units
• OE= 8 Units

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